-2y(-3-4y)=-10

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Solution for -2y(-3-4y)=-10 equation: 


Simplifying
-2y(-3 + -4y) = -10
(-3 * -2y + -4y * -2y) = -10
(6y + 8y2) = -10

Solving
6y + 8y2 = -10

Solving for variable 'y'.

Reorder the terms:
10 + 6y + 8y2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 6y + 8y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 3y + 4y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 3y + 4y2)' equal to zero and attempt to solve:

Simplifying
5 + 3y + 4y2 = 0

Solving
5 + 3y + 4y2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.25 + 0.75y + y2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.75y + -1.25 + y2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.75y + y2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.75y + y2 = 0 + -1.25
0.75y + y2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.75y + y2 = -1.25

The y term is 0.75y.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75y + 0.140625 + y2 = -1.25 + 0.140625

Reorder the terms:
0.140625 + 0.75y + y2 = -1.25 + 0.140625

Combine like terms: -1.25 + 0.140625 = -1.109375
0.140625 + 0.75y + y2 = -1.109375

Factor a perfect square on the left side:
(y + 0.375)(y + 0.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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